Displaying similar documents to “Numerical characteristics of uniform Birkhoff univariate interpolation schemes.”

An extended Prony’s interpolation scheme on an equispaced grid

Dovile Karalienė, Zenonas Navickas, Raimondas Čiegis, Minvydas Ragulskis (2015)

Open Mathematics

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An interpolation scheme on an equispaced grid based on the concept of the minimal order of the linear recurrent sequence is proposed in this paper. This interpolation scheme is exact when the number of nodes corresponds to the order of the linear recurrent function. It is shown that it is still possible to construct a nearest mimicking algebraic interpolant if the order of the linear recurrent function does not exist. The proposed interpolation technique can be considered as the extension...

UR Birkhoff interpolation with rectangular sets of derivatives

Nicolae Crainic (2004)

Commentationes Mathematicae Universitatis Carolinae

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In this paper we characterize the regular UR Birkhoff interpolation schemes ( U = uniform, R = rectangular sets of nodes) with rectangular sets of derivatives, and beyond.

Three ways of interpolation on finite elements

Šolín, Pavel, Segeth, Karel

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Interpolation on finite elements usually occurs in a Hilbert space setting, which means that interpolation techniques involving orthogonal projection are an alternative for the traditional Lagrange nodal interpolation schemes. In addition to the Lagrange interpolation, this paper discusses the global orthogonal projection and the projection-based interpolation. These techniques are compared from the point of view of quality, efficiency, sensitivity to input parameters and other aspects....